Say that every single class in Full Sails Masters Degree in Game Design has a 5% failure rate

per month. Say also that when a student fails once, he or she drops from the program. There are twelve months. Given a cohort of 100 that starts the program, about how many are left after twelve months? Remember that someone can only pass or fail.

Question

15-08-2017
Mathematics

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Say that every single class in Full Sails Masters Degree in Game Design has a 5% failure rate

per month. Say also that when a student fails once, he or she drops from the program. There are twelve months. Given a cohort of 100 that starts the program, about how many are left after twelve months? Remember that someone can only pass or fail.

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Аноним Аноним · Answer 1 · 2017-08-24T07:16:15+02:00

The monthly failure rate is q = 5% = 0.05
The monthly pass rate is p = 1 - q = 0.95

We want to determine the probability of 12 passes in 12 consecutive months for a student.
P(12 of 12 successes) = ₁₂C₁₂ p¹² q⁰ = 0.95¹² = 0.5404.

Therefore if we have 100 students, the number that gets through 12 consecutive months is
100*005404 = 54 students.

Answer: 54 students are left after 12 months.